Shannon entropy measurements for quantum oscillator system in the presence of a spiral dislocation

In this research study, we focus on the intriguing impact of topological defects generated by a spiral dislocation on a quantum harmonic oscillator system. This model holds significance in the realm of quantum systems, wherein quantum particles interact within a harmonic oscillator potential. Our investigation revolves around solving the wave equation of harmonic oscillator in the presence of topological defects, culminating in the derivation of analytical eigenvalue solutions. Finally, we explore the entropy information associated with this quantum harmonic oscillator system and conduct a thorough analysis of how topological defects influence its properties.